Question 265742
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Let *[tex \Large x] represent the number of dimes.  Then Let *[tex \Large x\ +\ 12] must be the number of nickels.  Each of his dimes is worth 10 cents, so the value of his dimes is Let *[tex \Large 10x] cents.  Each nickel is worth 5 cents, so the value of the nickels is *[tex \Large 5(x\ +\ 12)] cents.  Total value of his money is $1.65, which is to say 165 cents. Since he presumably has no coins other than the dimes and the nickels:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 10x\ +\ 5(x\ +\ 12)\ =\ 165]


Solve for *[tex \Large x] to get the number of dimes, then add 12 to that to get the number of nickels.  Check by adding up the amount of money that many coins represents -- it should work out to $1.65.



John
*[tex \LARGE e^{i\pi} + 1 = 0]
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